View source for Why do we need Higher Derivatives

From the zero derivative to sixth derivative there is a meaning on the graph 
#No derivative function <math> f(x) </math> = Position 
#first derivative <math> f'(x) </math> = Velocity 
#second derivative <math> f''(x) </math> = Acceleration 
#third derivative <math> f'''(x) </math> = [[wikipedia:Jerk (physics)|Jerk]]
#fourth derivative <math>f^{(4)}(x)</math> = [[wikipedia:Snap (physics)|Snap]]
#fifth derivative <math>f^{(5)}(x)</math> = [[wikipedia:Fifth derivative (crackle)|crackle/flounce]]
#sixth derivative <math>f^{(6)}(x)</math> = Pop